Determine the 10th 21st term of arithmetic sequence

depends on the sequence

-36

176
-34
-218

To determine the 10th and 21st terms of an arithmetic sequence, we need to know the common difference and the first term of the sequence.

The general formula to find the nth term of an arithmetic sequence is given by:
an = a1 + (n - 1)d

where:
an is the nth term of the sequence,
a1 is the first term of the sequence,
n is the term number, and
d is the common difference between consecutive terms.

Since we already know that we want to find the 10th and 21st terms, let's focus on finding these terms.

Step 1: Find the 10th term.
To find the 10th term, we can use the formula:
a10 = a1 + (10 - 1)d

Step 2: Find the 21st term.
Similarly, to find the 21st term, we can use the same formula:
a21 = a1 + (21 - 1)d

Both of these formulas require the knowledge of the first term (a1) and the common difference (d) of the sequence. Once you have those values, you can substitute them into the formulas to find the 10th and 21st terms.